Chugh, Renu; Kadian, Tamanna; Rani, Anju; Rhoades, B. E. Property P in G-metric spaces. (English) Zbl 1203.54037 Fixed Point Theory Appl. 2010, Article ID 401684, 12 p. (2010). The authors establish two fixed point theorems for some contractive-type maps on complete \(G\)-metric spaces. It is also shown that if \((X,G)\) is a complete \(G\)-metric space and \(T\) is a self-map of \(X\) satisfying the hypotheses of any of the two theorems then the maps \(F^n\) have the same fixed point set, for all \(n\in \mathbb{N}\). Reviewer: Mircea Balaj (Oradea) Cited in 51 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems Keywords:\(G\)-metric space; fixed point; property \(P\) PDFBibTeX XMLCite \textit{R. Chugh} et al., Fixed Point Theory Appl. 2010, Article ID 401684, 12 p. (2010; Zbl 1203.54037) Full Text: DOI EuDML References: [7] doi:10.1155/2008/189870 · Zbl 1148.54336 · doi:10.1155/2008/189870 [8] doi:10.1155/2009/917175 · Zbl 1179.54067 · doi:10.1155/2009/917175 [9] doi:10.1016/j.amc.2009.04.085 · Zbl 1185.54037 · doi:10.1016/j.amc.2009.04.085 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.